On Farthest Points

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Authors

  • Department of Mathematics, University of Delhi, Delhi 110007 ,IN
  • Department of Mathematics, University of Delhi, Delhi 110007 ,IN
  • Department of Mathematics, University of Delhi, Delhi 110007 ,IN

Abstract

Section 2 of this paper deals with the generalizations of a theorem due to Motzkin, Straus and Valentine [7] and a theorem due to V. Klee [4]. Theorem 1 studies the continuity of the farthest point map in a matric space and Theorem 2 establishes that if a compact set in a Frechet space [9] is uniquely remotal with respect to the closure of its convex hull then the set is singleton.

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Published

1975-12-01

How to Cite

Ahuja, G. C., Narang, T. D., & Trehan, S. (1975). On Farthest Points. The Journal of the Indian Mathematical Society, 39(1-4), 293–297. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/16654

 

References

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LIN, BOR-LUH, Distance”Sets in Normed Vector Spaces, Nieuw Archief Voor Wiskunde (3), 14 (1966), 23-30.

MOTZKIN, T.S., STRAUS, E.G., AND VALENTINE, F.A., The Number of Farthest Points, Pacific. J. Math. 3 (1953), 221-232.

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